Question

The graph above shows the position and time calculate the velocity of the particle from T=0s to T=4s?

0.75m/s
0.5m/s
2m/s
1.33m/sm/s

Answer 1

The velocity of the particle from T = 0 s to T = 4 s is;

0.5 m/s

Step-by-step explanation:

The given parameters from the graph are;

The initial displacement (covered) at time, t₁ = 0 s is x₁ = 1 m

The displacement covered at time, t₂ = 4 s is x₂ = 3 m

The graph of distance to time, from time t = 0 to time t = 4 is a straight line graph, with the velocity given by the rate of change of the displacement to the time which is dx/dt which is also the slope of the graph given as follows;

`The \ slope \ of \ the \ displacement \ time \ graph, \ m =velocity, \ v= (x_2 - x_1)/(t_2 - t_1)`

`Therefore, \ the \ velocity \ of \ the \ particle \ v = (3 \ m - 1 \ m)/(4 \ s - 0 \ s) = (2 \ m)/(4 \ s) = (1)/(2) \ m/s`

The velocity of the particle from t = 0 s to t = 4 s = 1/2 m/s = 0.5 m/s.